To prove: That the function
Answer to Problem 3E
The required point where
Explanation of Solution
Given Information:
The graph of the function
Formula Used:
Differentiable function formula:
The differentiable function formulas to find the left hand derivative and right hand derivative are
Left hand derivative
Calculation:
From the given graph it is seen that on either side
Consider both slopes are sided functional derivatives.
So, the limits are not equal.
To find the Left hand derivative, use the differentiable function formula.
Substitute
Simplify the above limit further.
Again, to find the Right hand derivative, use the differentiable function formula.
Substitute
Simplify the above limit further.
Since, the limits are not equal;
So, the function is not differentiable at the point
Hence, the required point where
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning